Application of System of Linear Equations to a 3-Arm Roundabout Network Flows

Abstract

A mathematical model was presented and used to determine turning movements at roundabouts base on field data. Assumptions were made in other to simplify the model; such as no U-turns from and to the same arm of roundabout, total traffic into the roundabout and traffic is homogeneous (i.e. mainly consisting of vehicles). Using Gaussian elimination method, turning movements could be estimated for 3-arm roundabout for the indeterminate traffic steam movements when inflows and outflows for each arm of the roundabout is known together with a flow stream on one internal circulating section between any two arms of the roundabout.